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math.DG2014★ 9 cited
Near-Stability of a Quasi-Minimal Surface Indicated Through a Tested Curvature Algorithm
Daud Ahmad, Bilal Masud
We decrease the mean curvature and area of a variable surface with a fixed boundary by iterating a few times through a curvature-based variational algorithm. For a boundary w…
math.DG2012★ 21 cited
Variational Minimization on String-rearrangement Surfaces, Illustrated by an Analysis of the Bilinear Interpolation
Daud Ahmad, Bilal Masud
In this paper we present an algorithm to reduce the area of a surface spanned by a finite number of boundary curves by initiating a variational improvement in the surface. The ansa…